Help with all four!

1

\fExercise 2. This exercise is similar to the rst one, but there is an extra step involved (see the note above). 3a+65+90 3 6 9 Gain+4c _ 6 72 4 . K 6a+5bc .a,b,01nR a. 6 +6 5 +0 *1 .a,b,r31nR 3a+b26 3 1 2 (a) Determine a basis for the subspace K given above. (b) State the dimension of the subspace K. Exercise 3. Use the above theorems to answer the questions here. (a) The set of vectors below span R5. (1)) The polynomials in the set below are linearly independent. {1, 2t, 72 + 4152,7121: + 87:3} Is this set a basis for P3? Explain l'Dl'MH i'l'l'OH 1 2 1 1 3 1 Hrtme OOOOrl l'DOOO Is this set a basis for R5? Explain. \f